a shopkeeper marked an article at 2400₹ by selling it ar discount of 10%,the shopkeeper makes a profit at 8%find 1.us selling price an article 2.cost price of an article for shopkeeper.
Answers
Answer:
Step-by-step explanation:
Let the list price of the article is=Rs.x
Rebate=20% on list price
Shopkeeper buys an article for Rs.2400 from wholesaler at rebate 20% on list price
∴x−20%ofx=2400
⇒x−
100
20x
=2400
⇒
100
80x
=2400
⇒x=
80
2400×100
=Rs.3000
Shopkeeper raised the list price 10% then marked-up price=3000+10%of3000
⇒3000+
100
10
×3000
⇒3000+300=Rs.3300
(i)Rate of sales tax
shopkeeper sell the article Rs.3498 including sales tax on marked-up price
Let the rate of sales tax is y%
∴3300+y%of3300=3498
⇒3300+
100
y
×3300=3498
⇒33y=3498=3300
⇒33y=198
⇒y=
33
198
=6%
(ii)Shopkeeper's profit percent
Shopkeeper buys the article=Rs.2400
He sell the article=Rs.3300
Profit=3300−2400=Rs.900
Profit %=
2400
900
×100=37.5%